This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A007206 M4124 #18 Apr 27 2024 14:49:46 %S A007206 1,0,0,-2,-6,-18,-54,-168,-534,-1732,-5706,-19038,-64176,-218190, %T A007206 -747180,-2574488,-8918070,-31036560,-108457488,-380390574, %U A007206 -1338495492,-4723664566,-16714545822,-59286878556,-210755970528,-750721297056,-2679075662922,-9577156141654,-34290858526926,-122959225609518 %N A007206 Magnetization for honeycomb lattice. %D A007206 C. Domb, Ising model, in Phase Transitions and Critical Phenomena, vol. 3, ed. C. Domb and M. S. Green, Academic Press, 1974; p. 421. %D A007206 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). %H A007206 C. Domb, <a href="/A007239/a007239.pdf">Ising model</a>, Phase Transitions and Critical Phenomena 3 (1974), 257, 380-381, 384-387, 390-391, 412-423. (Annotated scanned copy) %H A007206 Shigeo Naya, <a href="https://doi.org/10.1143/PTP.11.53">On the Spontaneous Magnetizations of Honeycomb and Kagomé Ising Lattices</a>, Progress of Theoretical Physics, 11 (1954), 53-62. %F A007206 G.f.: (1 - 16 * z^3 * (1+z^3) / ((1-z)^3 * (1-z^2)^3))^(1/8) [Shigeo Naya]. - _Andrey Zabolotskiy_, Jun 01 2022 %F A007206 a(n) ~ -Gamma(1/8) * sqrt(sqrt(2) - 1) * (2 + sqrt(3))^n / (2^(27/8) * 3^(1/16) * Pi * n^(9/8)). - _Vaclav Kotesovec_, Apr 27 2024 %t A007206 CoefficientList[Series[(1 - 16 * x^3 * (1+x^3) / ((1-x)^3 * (1-x^2)^3))^(1/8), {x, 0, 30}], x] (* _Vaclav Kotesovec_, Apr 27 2024 *) %Y A007206 Cf. A002928, A007207. %K A007206 sign,easy %O A007206 0,4 %A A007206 _Simon Plouffe_ %E A007206 Offset changed, signs of terms changed, and more terms added by _Andrey Zabolotskiy_, Jun 01 2022